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Finding the Fourth Proportional to 1,141.32, 1,574.10 and 861.60

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Solution

The fourth proportional to 1,141.32, 1,574.10 and 861.60 is: 1,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.32 : 1,574.10 = 861.60 : x
  2. Step 2: Convert to fraction form
    1,141.32/1,574.10 = 861.60/x
  3. Step 3: Cross multiply
    1,141.32x = 1,574.10 × 861.60
  4. Step 4: Simplify right side
    1,141.32x = 1,356,244.56
  5. Step 5: Solve for x
    x = 1,356,244.56/1,141.32
  6. Step 6: Final answer
    x = 1,188.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.